I’d like to know if it’s possible to create user and give him privilege to add/edit/delete or in a short ability to manage his own domains.

We have a good ability to set up users to manage specific domains, but as far as adding domains or deleting domains and subdomains, we have to create users that basically have total control over all domains.

You can use your account to create domains and give another user the ability to manage particular individual domains, though.